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Aaron, Bryce, and Craig are all distinct integer ages (meaning their ages are whole numbers and all different from each other) They had the following conversation: *i. Bryce to Craig: You're the youngest one. *ii. Aaron to Bryce: Your age is exactly 70% greater than mine. *iii. Aaron to Craig: Your age is the average of my age and Bryce's age. *iv. Craig to Aaron: I'm at least 8 years older than you. However, not all of these statements are true. When speaking to someone older, the speaker always tells the truth. Otherwise when speaking to someone younger, the speaker always lies. How old is Craig?
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Quantitative Analyst

Interviewed at Susquehanna International Group

3.8★
May 21, 2024

Aaron, Bryce, and Craig are all distinct integer ages (meaning their ages are whole numbers and all different from each other) They had the following conversation: *i. Bryce to Craig: You're the youngest one. *ii. Aaron to Bryce: Your age is exactly 70% greater than mine. *iii. Aaron to Craig: Your age is the average of my age and Bryce's age. *iv. Craig to Aaron: I'm at least 8 years older than you. However, not all of these statements are true. When speaking to someone older, the speaker always tells the truth. Otherwise when speaking to someone younger, the speaker always lies. How old is Craig?

Discrete math question, coins in a bag, basic prob/stat questions. For example, if there are 2 coins in a bag, one biased, the other fair, and you pick a coin at random and flip it 6 times and it came up heads every time, what is the probability you picked the biased coin
avatar

Quantitative Researcher

Interviewed at Susquehanna International Group

3.8★
Nov 21, 2019

Discrete math question, coins in a bag, basic prob/stat questions. For example, if there are 2 coins in a bag, one biased, the other fair, and you pick a coin at random and flip it 6 times and it came up heads every time, what is the probability you picked the biased coin

Q: Assume you want to get from city A to city B. There are three roads you can choose uniformly from. However only one road leads actually to city B, which takes 2 hours. The other two roads end up in city A again and both are 1 hour long. Given that you don't know which road you took, If you return to city A (i.e. you have to choose uniformly a road again), what is the expected time to get to city B?
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Quantitative Analyst Graduate Training - Full Time

Interviewed at J.P. Morgan

3.9★
Oct 1, 2015

Q: Assume you want to get from city A to city B. There are three roads you can choose uniformly from. However only one road leads actually to city B, which takes 2 hours. The other two roads end up in city A again and both are 1 hour long. Given that you don't know which road you took, If you return to city A (i.e. you have to choose uniformly a road again), what is the expected time to get to city B?

Eight quants from different banks are getting together for drinks. They are all interested in knowing the average salary of the group. Nevertheless, being cautious and humble individuals, everyone prefers not to disclose his or her own salary to the group. Can you come up with a strategy for the quants to calculate the average salary without knowing other people's salaries?
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Quantitative Trader

Interviewed at Jane Street

4.4★
Dec 3, 2022

Eight quants from different banks are getting together for drinks. They are all interested in knowing the average salary of the group. Nevertheless, being cautious and humble individuals, everyone prefers not to disclose his or her own salary to the group. Can you come up with a strategy for the quants to calculate the average salary without knowing other people's salaries?

you and a friend are playing a coin tossing game. You will be tossing a coin and tracking the results. You each have a sequence you're looking for. Your sequence is HTT, your friends sequence is HHT. the player whos sequence appears first in the game wins. Would you want to play? What is your probability of winning?
avatar

Quantitative Trader Intern

Interviewed at Jane Street

4.4★
Aug 6, 2020

you and a friend are playing a coin tossing game. You will be tossing a coin and tracking the results. You each have a sequence you're looking for. Your sequence is HTT, your friends sequence is HHT. the player whos sequence appears first in the game wins. Would you want to play? What is your probability of winning?

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